A vacation queueing model with service breakdowns

被引：31
|
作者：
Gray, WJ
Wang, PP
Scott, M
机构：
[1] Univ Alabama, Coll Arts & Sci, Dept Math, Tuscaloosa, AL 35487 USA
[2] Western Illinois Univ, Macomb, IL 61455 USA
来源：
APPLIED MATHEMATICAL MODELLING | 2000年 / 24卷 / 5-6期
关键词：
D O I：
10.1016/S0307-904X(99)00048-7
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we analyze a multiple-vacation queueing model, where the service station is subject to breakdown while in operation. Service resumes immediately after a repair process, and a vacation starts at the end of each busy period. Arrivals follow a Poisson process with rates depending upon the system state, namely, vacation, service, or breakdown state. The repair times, times to breakdown following a repair or vacation, uninterrrupted service times, and length of each vacation follow exponential distributions. Some results are also obtained when vacation, service, and repair times follow phase-type distributons. (C) 2000 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：391 / 400
页数：10
相关论文
共 50 条
  • [1] A Markovian Queueing Model for Telecommunications Support Center with Breakdowns and Vacation Periods
    Chettouf A.
    Bouchentouf A.A.
    Boualem M.
    [J]. Operations Research Forum, 5 (1)
  • [2] Queueing Models with Backup Servers and Service Breakdowns
    William J. Gray
    P. Patrick Wang
    Meckinley Scott
    [J]. OPSEARCH, 2002, 39 (5-6) : 281 - 295
  • [3] Adaptive Service Analysis for EPON Base on Working Vacation Queueing Model
    Li Jihong
    Tian Naishuo
    Chen Haiyan
    Lu Donghua
    [J]. 2008 11TH IEEE SINGAPORE INTERNATIONAL CONFERENCE ON COMMUNICATION SYSTEMS (ICCS), VOLS 1-3, 2008, : 693 - +
  • [4] Analysis of the M/G/1 queueing model with second optional service and server breakdowns
    Abdulla Hoshur
    Abdukerim Haji
    [J]. Journal of Pseudo-Differential Operators and Applications, 2020, 11 : 1265 - 1287
  • [5] Analysis of the M/G/1 queueing model with second optional service and server breakdowns
    Hoshur, Abdulla
    Haji, Abdukerim
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (03) : 1265 - 1287
  • [6] Retrial queueing system with balking, optional service and vacation
    Arivudainambi, D.
    Godhandaraman, P.
    [J]. ANNALS OF OPERATIONS RESEARCH, 2015, 229 (01) : 67 - 84
  • [7] Retrial queueing system with balking, optional service and vacation
    D. Arivudainambi
    P. Godhandaraman
    [J]. Annals of Operations Research, 2015, 229 : 67 - 84
  • [8] Design and Analysis of a Vacation Model for Two-Phase Queueing System with Gated Service
    Ramya, K.
    Palaniammal, S.
    Vijayalakshmi, C.
    [J]. BIG DATA, CLOUD AND COMPUTING CHALLENGES, 2015, 50 : 301 - 306
  • [9] Queueing networks with station breakdowns and globally gated service regime
    Kofman, D
    Yechiali, U
    [J]. TELETRAFFIC CONTRIBUTIONS FOR THE INFORMATION AGE, 1997, 2 : 285 - 296
  • [10] Analysis and Application of a Batch Arrival Queueing Model with the Second Optional Service and Randomized Vacation Policy
    Huang, Kai-Bin
    [J]. HCI IN BUSINESS, GOVERNMENT AND ORGANIZATIONS, PT II, HCIBGO 2023, 2023, 14039 : 320 - 333
12345